COMBINING BOOLEAN ALGEBRAS AND l-GROUPS IN THE VARIETY GENERATED BY CHANG'S MV-ALGEBRA

被引：1

作者：

Di Nola, A. ^{[1
]}

Ferraioli, A. R. ^{[2
]}

Gerla, B. ^{[2
]}

机构：

[1] Univ Salerno, Dept Math, Via Giovanni Paolo 2,132, I-84084 Fisciano, SA, Italy

[2] Univ Insubria, Dept Theoret & Appl Sci, Via Mazzini 5, I-21100 Varese, Italy

来源：

MATHEMATICA SLOVACA | 2016年 / 66卷 / 02期

关键词：

MV-algebras; perfect MV-algebras; lattice-ordered abelian groups;

D O I：

10.1515/ms-2015-0144

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we investigate a class of MV-algebras built up by fixing a Boolean algebra, one of its maximal ideals and an l-group. We use such class to characterize, in the variety generated by all perfect MV-algebras, those MV-algebras which have their perfect skeleton as a quotient, giving an axiomatization of such a class and a representation theorem. (C) 2016 Mathematical Institute Slovak Academy of Sciences

引用

页码：387 / 400

页数：14

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